That higher max speed is mostly an advantage on paper since its almost never reached and came from the perceived necessity of beating an overestimated Mig-25. Fighter designers agree, as no modern fighter is mach 2.5 capable, the tradeoffs to reach that are not worth it. The EF is faster in all aspects that matter. Take if from the test pilot that flew both. The greater range on the Eagle is nice, but even short legged planes like the F16 are used very successfully thanks to flying gas stations.
And you are dead wrong regarding the Meteor or rather throttle-able ramjet missiles. Conventional missiles like the AMRAAM burn for the first few seconds after launch and then basically coast to the target, losing energy, especially if maneuvering is required. Being able to control burn rate of a missiles motor provides a lot of of options for increased lethality like adjusting for total flight time, negating the loss of energy when turning, increasing speed during the last few seconds to impact etc. This is a game-changer and calling the Meteor an AMRAAM is misinformed at best.